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González Pérez, Pedro Daniel and García Barroso, Evelia Rosa (2005) Decomposition in bunches of the critical locus of a quasiordinary map. Compositio Mathematica, 141 (2). pp. 461486. ISSN 15705846

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Official URL: https://doi.org/10.1112/S0010437X04001216
Abstract
A polar hypersurface P of a complex analytic hypersurface germ f = 0 can be investigated by analyzing the invariance of certain Newton polyhedra associated with the image of P, with respect to suitable coordinates, by certain morphisms appropriately associated with f. We develop this general principle of Teissier when f = 0 is a quasiordinary hypersurface germ and P is the polar hypersurface associated with any quasiordinary projection of f = 0. We show a decomposition of P into bunches of branches which characterizes the embedded topological types of the irreducible components of f = 0. This decomposition is also characterized by some properties of the strict transform of P by the toric embedded resolution of 0 given by the second author. In the plane curve case this result provides a simple algebraic proof of a theorem of Le et al.
Item Type:  Article 

Uncontrolled Keywords:  Polar hypersurfaces, Quasiordinary singularities, Topological type, Discriminants, Toric geometry Ordinary singularities; Hypersurface singularities; Polar invariants; Curves; Fiber 
Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  12579 
Deposited On:  13 Apr 2011 08:46 
Last Modified:  14 May 2018 10:49 
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